美国数学竞赛题（都英语进）1.Make two random marks on a long stick.(a) If you then break the stick into k pieces of equal length,what's the chance the two marks are on the same piece?(b) If you then break the stick into k pieces of random

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美国数学竞赛题（都英语进）1.Make two random marks on a long stick.(a) If you then break the stick into k pieces of equal length,what's the chance the two marks are on the same piece?(b) If you then break the stick into k pieces of random
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美国数学竞赛题（都英语进）1.Make two random marks on a long stick.(a) If you then break the stick into k pieces of equal length,what's the chance the two marks are on the same piece?(b) If you then break the stick into k pieces of random
美国数学竞赛题（都英语进）
1.Make two random marks on a long stick.
(a) If you then break the stick into k pieces of equal length,what's the chance the two marks are on the same piece?
(b) If you then break the stick into k pieces of random lengths,what's the chance the two marks are on the same piece?
2.Leonhard has ten rods having lengths 1,2,...,10 respectively.How many different ways are there to make a triangle by choosing three appropriate rods?
3.A point is chosen randomly inside a square of side length 5,and a unit circle is drawn with that point as its center.Calculate the probability that the circle does not intersect either of the square's diagonals or any of its sides.
4.Circles A,B and C with radii 2,4,and 6 respectively are tangent to one another.The common external tangent to circles A and B intersects the common external tangent to circles A and C at point x.Find the measure of angle x.
5.In the complex plane,let u and v be two distinct solution of .Find the probability that .

美国数学竞赛题（都英语进）1.Make two random marks on a long stick.(a) If you then break the stick into k pieces of equal length,what's the chance the two marks are on the same piece?(b) If you then break the stick into k pieces of random
1,(a)这2点在任何一段是等可能的,所以一共有K^2可能情况,而在同段的情况K种,所以2点同段概率是K/K^2=1/K
(b)假长为单位1,2点距离x,那么K-1次断点都不在2点间的可能为(1-X)^(K-1)
显然2点同段可能是(1-X)^(K-1)
2,1到10,选择3个组成三角形.假使0

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美国数学竞赛题（都英语进）1.Make two random marks on a long stick.(a) If you then break the stick into k pieces of equal length,what's the chance the two marks are on the same piece?(b) If you then break the stick into k pieces of random 美国数学竞赛题（都英语进）1.At a high school in Germany,80% of all students in the school are male,but only 5% ofthe male students and 10% of the female students are on the math team.If a member ofthe math team is selected at random,with 数学竞赛题, 问几道数学竞赛题（初二）1.若a.b.c是三个连续整数且a 六年级华罗庚数学竞赛题 小学三年级数学竞赛题 比如：奥林匹克数学竞赛题 三道数学竞赛题. 初中数学竞赛题RT 数学初一年级竞赛题 2011初中数学竞赛题 数学竞赛题及答案 大学数学趣味竞赛题 数学竞赛题!在线等 初一数学奥林匹克竞赛题 AMC美国数学竞赛题干是用中文还是英文表达?或者中英文交叉?RT,考AMC8,英语不太好,以为AMC和IMC一样是中英文交叉就报了一个,后来听人说好像AMC是全英文试题,有点紧张, 初一数学竞赛题一道（要写过程）,如图. 初一数学竞赛题一道（要写过程）,如图.